**Problem Statement:**1. The speed of light in vacuum is \(3 \times 10^5\) km/s and \(1 \text{ km} = 1,000 \text{ m}\) and \(1 \text{ m} = 100 \text{ cm}\). Use \(c = f \lambda\) to determine the frequency of a photon with a wavelength of 2 cm.**Explanation of the Given Formula:**- \(c\) represents the speed of light.- \(f\) stands for frequency.- \(\lambda\) (lambda) denotes wavelength.This equation is used to relate the speed of light with frequency and wavelength, allowing us to solve for one variable if the others are known. **Conversion Factors:**- Speed of light in meters per second: \(3 \times 10^5\) km/s = \(3 \times 10^8\) m/s. - Wavelength conversion: \(2 \text{ cm}\) = \(0.02 \text{ m}\).**Solution Steps:**To find frequency \(f\), rearrange the formula to:\[ f = \frac{c}{\lambda} \]Substitute the known values:\[ f = \frac{3 \times 10^8 \text{ m/s}}{0.02 \text{ m}} \]Calculate to find the frequency.**Learning Objective:**Understand how to use wave equations to calculate frequency, and practice unit conversions in the context of physics.

Given data The speed of the light in a vacuum is c = 3 x 105 km/s. The wavelength of the photon is λ=2 cm. The relationship between the speed of the light and frequency is given as, c=fλ Here, f is the frequency.On putting the values as, c=fλf=cλf=3×105 km/s1000 m1 km2 cm1 m100 cmf=1.5×1010 Hz Thus, the frequency of the photon is 1.5 x 1010 Hz.

Answered: The speed of light in vacuum is 3 X 105…

Science

Physics

The speed of light in vacuum is 3 X 105 km/s and 1 km = 1,000 m and 1m = 100 cm. Use c = fA to determine the frequency of a photon with a wavelength of 2 cm.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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